What is obi geisha?

As an AI language model, I cannot search the internet independently. However, Obi Geisha is likely a reference to a Geisha's obi, or sash, which is tied in the back in a particular way to indicate whether the Geisha is a maiko (apprentice) or a full-fledged Geisha. The obi tying is also an important part of traditional Japanese culture, and there are many different ways to tie it for different occasions and outfits.